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1 year ago

What unit would you use to measure the capacity of water in a swimming pool?

Mathematics

1 answer:

vichka [17]1 year ago

4 0

Should be Cubic meters or Cubic decimeters

Mass of the water in pool in Kilograms

Volume of water in pool in Liters

You might be interested in

Answer and explanation please. ty

larisa [96]

Answer
0.47qt a sec
Reason
Convert the gallons to quart using the formula “q=4g”
q=4(7)= 28
So we learn that it’s 28 quarts a minute. To figure it out by the second divide by 60.
28 divided by 60 equals 0.4667
Round to the nearest hundredth and it equals
0.47
There for it is 0.47 quarts a second.

6 0

3 years ago

Find the distance between each pair of points.

antoniya [11.8K]

Answer:

Between each pair of points are coordinates K(x1,y1) F(x2, y2)

Distance KF =sqrt( (x2 - x1) ² + (y2 - y1) ²)

Step-by-step explanation:

4 0

2 years ago

Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle P

Alchen [17]

Answer:

$PQR = 140$

Step-by-step explanation:

Given

$XYZ = 2X$

$PQR = 8X - 20$

Required

Find PQR

Since both angles are supplementary, we have:

$XYZ + PQR = 180$

This gives:

$2X + 8X - 20 = 180$

$10X - 20 = 180$

Collect Like Terms

$10X = 20 + 180$

$10X = 200$

Divide through by 10

$X = 20$

Substitute 20 for X in $PQR = 8X - 20$

$PQR = 8 * 20 -20$

$PQR = 140$

7 0

2 years ago

How many real solutions does this system of equations have? x^2 + y^2 = 36

Vinvika [58]

Answer:

C: there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6. Even a rough sketch of this circle would enable you to visualize what is happening here.

3x – y + 1 = 0 may be solved for y: y = 3x + 1. The y-intercept of this straight line is (0, 1). Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it. This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0. This is a quadratic equation. We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35. Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C: there are two real solutions.

4 0

2 years ago

Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age

Lostsunrise [7]

Answer: The answer is x = 65 - 60y.

Step-by-step explanation: Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

$x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.$

Thus, we can find Paula's age (y) using the equation

$y=\dfrac{65-x}{60},$

where 'x' is the age of Raul.

6 0

2 years ago